Partitions, diophantine equations, and control systems
[EN] Ordered partitions of elements of a reduced abelian monoid are defined and studied by means of the solutions of linear diophantine equations. Links to feedback classification of linear dynamical systems over certain commutative rings are given in the same way as partitions of integers are relat...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2019 |
| País: | España |
| Recursos: | Universidad de León |
| Repositório: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/22894 |
| Acesso em linha: | https://hdl.handle.net/10612/22894 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Matemáticas Partition Abelian monoid Dynamical systems 1207.09 Programación Lineal 1207.02 Sistemas de Control |
| Resumo: | [EN] Ordered partitions of elements of a reduced abelian monoid are defined and studied by means of the solutions of linear diophantine equations. Links to feedback classification of linear dynamical systems over certain commutative rings are given in the same way as partitions of integers are related to feedback classification of linear dynamical systems over fields in the classical literature. |
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